Modules - 2024-2025
Core modules
Semester 2
- Algebraic Topology
- Elliptic and Parabolic PDEs
- Functional Analysis
- Mathematical Biology and Physiology
- Modern Regression and Bayesian Methods
- Numerical Methods
- Representation Theory
- Stochastic Processes
Semester 1
- Algebraic Geometry
- Asymptotic and Analytical Methods
- Continuum Mechanics
- Differential Topology
- Dynamical Systems and Conservation Laws
- Foundations of Probability
- Measure and Integration
- Regression and Simulation Methods
Supplementary modules
Semester 2
Semester 1
- Topological Quantum Field Theory
- Conformal Field Theory and Vertex Operator Algebras
- Gradient Flows
- Quantum Computing
- Riemann Surfaces and their Associated Moduli Spaces
Previous supplementary modules
These modules ran previously, and are not currently running in this session.
- Advanced PDE I
- Advanced PDE II
- Advances in Numerical Methods for Hyperbolic and Kinetic Equations
- Algebraic Statistics
- Calculus of Variations
- Calculus of Variations and Dynamics
- Classical and Quantum Integrable Systems
- Combinatorics on Words
- Convergence of Probability Measures and its Applications
- Data Science for Dynamical Systems
- Ethics in Mathematics
- Finance, Risk, Asset-Pricing, Credit Scoring etc.
- Formal Groups
- Fourier and Harmonic Analysis
- Galois Theory of Commutative Rings
- Geometry of Gauge Fields
- History of Mathematics
- Homological Algebra
- Infinite Dimensional Dynamics
- Introduction to Geometric Group Theory
- Inverse Problems
- Mathematical Foundations of Elasticity Theory
- Riemann Surfaces
- Stochastic Networks and Processes
- Stochastic PDEs: Applications and Numerics
- Variational methods for PDEs and nonlocal problems